Describe the violent act Tom committed against Myrtle what does this incident reveal about both of their characters

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Shortly after Tom gives her a puppy as a gift, Myrtle begins chanting Daisy's name to irritate Tom. Tom tells her that she has no right to say Daisy's name; she continues taunting him, and he responds by breaking Myrtle's nose.

It becomes patently clear in this chapter that Tom is both a bully and a hypocrite: he carries on a highly public affair, but feels compelled to beat his mistress in order to keep her in her place. The fact that Tom feels no guilt about his violence toward Myrtle (indeed, he seems incapable of feeling guilt at all) becomes pivotal in later chapters.